Intermediate Algebra

# Practice Test

Intermediate AlgebraPractice Test

### Practice Test

529.

Use the Square Root Property to solve the quadratic equation $3(w+5)2=27.3(w+5)2=27.$

530.

Use Completing the Square to solve the quadratic equation $a2−8a+7=23.a2−8a+7=23.$

531.

Use the Quadratic Formula to solve the quadratic equation $2m2−5m+3=0.2m2−5m+3=0.$

Solve the following quadratic equations. Use any method.

532.

$2 x ( 3 x − 2 ) − 1 = 0 2 x ( 3 x − 2 ) − 1 = 0$

533.

$9 4 y 2 − 3 y + 1 = 0 9 4 y 2 − 3 y + 1 = 0$

Use the discriminant to determine the number and type of solutions of each quadratic equation.

534.

$6 p 2 − 13 p + 7 = 0 6 p 2 − 13 p + 7 = 0$

535.

$3 q 2 − 10 q + 12 = 0 3 q 2 − 10 q + 12 = 0$

Solve each equation.

536.

$4 x 4 − 17 x 2 + 4 = 0 4 x 4 − 17 x 2 + 4 = 0$

537.

$y 2 3 + 2 y 1 3 − 3 = 0 y 2 3 + 2 y 1 3 − 3 = 0$

For each parabola, find which direction it opens, the equation of the axis of symmetry, the vertex, the x- and y-intercepts, and e) the maximum or minimum value.

538.

$y = 3 x 2 + 6 x + 8 y = 3 x 2 + 6 x + 8$

539.

$y = − x 2 − 8 x + 16 y = − x 2 − 8 x + 16$

Graph each quadratic function using intercepts, the vertex, and the equation of the axis of symmetry.

540.

$f ( x ) = x 2 + 6 x + 9 f ( x ) = x 2 + 6 x + 9$

541.

$f ( x ) = −2 x 2 + 8 x + 4 f ( x ) = −2 x 2 + 8 x + 4$

In the following exercises, graph each function using transformations.

542.

$f ( x ) = ( x + 3 ) 2 + 2 f ( x ) = ( x + 3 ) 2 + 2$

543.

$f ( x ) = x 2 − 4 x − 1 f ( x ) = x 2 − 4 x − 1$

In the following exercises, solve each inequality algebraically and write any solution in interval notation.

544.

$x 2 − 6 x − 8 ≤ 0 x 2 − 6 x − 8 ≤ 0$

545.

$2 x 2 + x − 10 > 0 2 x 2 + x − 10 > 0$

Model the situation with a quadratic equation and solve by any method.

546.

Find two consecutive even numbers whose product is 360.

547.

The length of a diagonal of a rectangle is three more than the width. The length of the rectangle is three times the width. Find the length of the diagonal. (Round to the nearest tenth.)

548.

A water balloon is launched upward at the rate of 86 ft/sec. Using the formula h = −16t2 + 86t find how long it will take the balloon to reach the maximum height, and then find the maximum height. Round to the nearest tenth. Do you know how you learn best?
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